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Question

If 0.2 mol of H2(g) and 2 mol of S(s) are mixed in a 1 dm3 vessel at 90C, the partial pressure of H2S(g) formed according to the reaction, H2(g)+S(s)H2S,KP=6.8×102 would be_______.

A
0.19 atm
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B
0.38 atm
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C
0.6 atm
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D
0.072 atm
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Solution

The correct option is B 0.38 atm

Given
Moles of H2 =0.2 mol
Moles of S(s)=2 mol
Volume of vessel = 1 dm3
Temperature= 273+90= 363K
Kp=6.8102
Solution
H2 + S(s) = H2S
t=0 0.2 2 0
t=t 0.2-x 2-x x
Let x be no. moles of H2S
Total no. of moles is o.2 -x +2 -x + x =2.2 - x
Mole fraction of H2S=x2.2x
Mole fraction of H2=0.2x2.2x
Kp=[H2S][H2]
Kp=x0.2x
putting value of Kp we get x=0.0145
Partial pressure of H2S=x1.2x1
=0.38atm
The correct answer is B




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